Inversion of k-Plane Transforms and Applications in Computer Tomog

  title={Inversion of k-Plane Transforms and Applications in Computer Tomog},
  author={F. Keinert},
  journal={SIAM Review},
  • F. Keinert
  • Published in SIAM Review 1989
  • Mathematics, Computer Science
  • The mathematics behind Computerized Tomography (CT) is based on the study of the parallel beam transform P and the divergent beam transform D. Both of these map a function f in $\mathbb{R}^n $ into a function defined on the set of all lines in $\mathbb{R}^n $, by integrating f along these lines.The parallel and divergent k-plane transforms are defined in a similar fashion by integration over k-planes (i.e., translates of k-dimensional subspaces) and are also denoted P and D, respectively. A… CONTINUE READING

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    Publications referenced by this paper.

    The divergent beam Xraytransform , Rocky Mtn

    • K. T. Smith, D. C. Solmon, S. L. Wagner
    • J . Math .
    • 1980

    Lower - dimensional integrability of L 2functions

    • D. C. Solmon
    • J . Math . Anal . Appl .
    • 1975

    Three - dimensional reconstructionfrom radiographs and electron micrographs : application of convolutions instead ofFourier transforms

    • A. V. Lakshminarayanan
    • Proc . Nat . Acad . Sci . U . S . A .